Brocard's conjecture
= Brocard's conjecture
{wiki=Brocard's_conjecture}
Brocard's conjecture is a hypothesis in number theory proposed by the mathematician Henri Brocard in 1876. It suggests that there are only a finite number of natural numbers \\( n \\) such that the expression \\( n! + 1 \\) (the factorial of \\( n \\) plus one) is a perfect square. In mathematical terms, Brocard's conjecture can be stated as: There are only finitely many integers \\( n \\) such that: \\\[ n!